Heat conduction worksheet with answers

Free printable Heat conduction worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Brick, k = 0.7250 mm22 °C-3 °Cq″ = ?

A wall of brick is 50 mm thick and has an area of 12 m². Its faces are held at 22 °C and -3 °C. Find the heat flux q″ through the wall.

k = 0.72 W/(m·K)L = 50 mmA = 12 m²T1 = 22 °CT2 = -3 °C
q″ = W/m²
2.Easy
Concrete, k = 1.4200 mm16 °C-15 °Cq″ = ?

A wall of concrete is 200 mm thick and has an area of 20 m². Its faces are held at 16 °C and -15 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 200 mmA = 20 m²T1 = 16 °CT2 = -15 °C
q″ = W/m²
3.Medium
Glass, k = 0.96250 mmExpanded polystyrene, k = 0.03550 mm23 °C8 °CQ̇ = ?

A wall is made of 250 mm of glass and 50 mm of expanded polystyrene, with an area of 10 m². The outer faces are at 23 °C and 8 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.96 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 10 m²T1 = 23 °CT3 = 8 °C
Q̇ = W
4.Medium
Brick, k = 0.72150 mmConcrete, k = 1.475 mm16 °C9 °CQ̇ = ?

A wall is made of 150 mm of brick and 75 mm of concrete, with an area of 15 m². The outer faces are at 16 °C and 9 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 1.4 W/(m·K)A = 15 m²T1 = 16 °CT3 = 9 °C
Q̇ = W
5.Hard
Concrete, k = 1.450 mmBrick, k = 0.7275 mmroom 22 °Coutside -3 °CTs​ = ?Q̇

A wall of 50 mm concrete and 75 mm brick separates a room at 22 °C from outside air at -3 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 6 m². Find the temperature Ts of the inside surface of the wall.

L1 = 50 mm, k1 = 1.4 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 6 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -3 °C
Ts = °C
6.Hard
Expanded polystyrene, k = 0.035250 mmBrick, k = 0.72100 mmroom 20 °Coutside -5 °CTs​ = ?Q̇

A wall of 250 mm expanded polystyrene and 100 mm brick separates a room at 20 °C from outside air at -5 °C. The convection coefficients are 6 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 15 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.035 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 15 m²hi = 6 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -5 °C
Ts = °C

Answer key

  1. 1. q″ = 360 W/m²
  2. 2. q″ = 217 W/m²
  3. 3. Q̇ = 88.81 W
  4. 4. Q̇ = 400.9 W
  5. 5. Ts = 13.38 °C
  6. 6. Ts = 19.44 °C

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